Question

Question #bc2c7

Answer 1

30 days

Explanation:

Total work to be done is:
`(30` men`)` `(35` days`) = 1050` man-days

After 10 days of work with 30 men:
`30` men `(10` days`) = 300` man-days are complete

This leaves `1050 - 300 = 750` man-days left to finish

Now with only 25 men:
`750` man-days`/25` men`= 30` days

So it will take the remaining workers 30 days to finish the job.

Answer 2

The remaining men will finish the job in 30 days.

Explanation:

The whole job can be unit 1, which can be done by 30 men in 35 days. So a man one day can finish `1/(35*30)` job.
After 10 days, the remaining job is `1-10/35 = 5/7`.
So every day the remaining `30-5=25` men can finish the job `25*1/(35*30) = 1/42`; they still need `5/7/(1/42) = 30` days to finish the job.

Answer 3

30 days

Explanation:

`30*35=1050` => man days required to do the job

`30*10=300` => man days completed in 10 days

`1050-300=750` => man days of work remaining

25 men to do 750 man days:

`750/25 = 30` => days for 25 men to complete the job